What is the 6673rd prime number?
The 6673rd prime number is 66959. The next prime is 66973 (a gap of 14) and the one before is 66949.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6673rd one is 66959.
- 2
66959 is prime because no prime up to ā66959 ā 258.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6673rd prime is close to 6673 Ć ln(6673) ā 58761, and here it is 66959.
- 4
66959 has no twin: neither 66957 nor 66961 is prime.
Primes around the 6673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6670 | 66943 | 12 |
| 6671 | 66947 | 4 |
| 6672 | 66949 | 2 |
| 6673 | 66959 | 10 |
| 6674 | 66973 | 14 |
| 6675 | 66977 | 4 |
| 6676 | 67003 | 26 |
Questions
What is the 6673rd prime number?
66959.
Which prime number is 66959?
66959 is the 6673rd prime number.
What is the sum of the first 6673 primes?
210,963,480.